Given numbers are 257,218,134,756

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 257,218,134,756 is 1418914476.

Find LCM of 257,218,134,756 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 257 x 109 x 67 x 378 = 1418914476

Therefore, the lowest common multiple of 257,218,134,756 is 1418914476.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

257 x 218 x 134 x 756 = 5675657904

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

257 : 1, 257

218 : 1, 2, 109, 218

134 : 1, 2, 67, 134

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,218,134,756, is 1.

Now, the common factors can be found like this.

257:257

218:2x 109

134:2x 67

756:2x 2x 3x 3x 3x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 5675657904/(1x4)

LCM = 5675657904/4

LCM = 1418914476

Thus, we can understand that the LCM of 257,218,134,756 is 1418914476.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 648, 143, 323, 445
• LCM of 456, 314, 927, 225
• LCM of 363, 459, 194, 879
• LCM of 720, 687, 551, 409
• LCM of 385, 330, 377, 346

1. What is the LCM of 257, 218, 134, 756?

Answer: LCM of 257, 218, 134, 756 is 1418914476.

2. How to calculate the LCM of 257, 218, 134, 756?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 257, 218, 134, 756.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.